document.write( "Question 1088737: giving p (9,-9), q (-5,1) and r (-3,4). Write the equation of the line which passes through p and is perpendicular to qr \n" ); document.write( "

Algebra.Com's Answer #703050 by Fombitz(32388) $\"\"$ $\"About$

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First find qr.
\n" ); document.write( "Use the points to get the slope.
\n" ); document.write( " $\"m%5Bqr%5D=%284-1%29%2F%28-3-%28-5%29%29=3%2F%28-3%2B5%29=3%2F2\"$
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals,
\n" ); document.write( " $\"m%5Bqr%5D%2Am%5Bp%5D=-1\"$
\n" ); document.write( " $\"%283%2F2%29%2Am%5Bp%5D=-1\"$
\n" ); document.write( " $\"m%5Bp%5D=-2%2F3\"$
\n" ); document.write( "Use the point-slope form of a line with point p,
\n" ); document.write( " $\"y-%28-9%29=-%282%2F3%29%28x-9%29\"$
\n" ); document.write( " $\"y%2B9=-%282%2F3%29x%2B6\"$
\n" ); document.write( " $\"y=-%282%2F3%29x-3\"$
\n" ); document.write( " $\"highlight%28y=-%282x%2B9%29%2F3%29\"$
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